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Finding the Fourth Proportional to 17,854.36, 26,780.44 and 4,706.44

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Solution

The fourth proportional to 17,854.36, 26,780.44 and 4,706.44 is: 7,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.36 : 26,780.44 = 4,706.44 : x
  2. Step 2: Convert to fraction form
    17,854.36/26,780.44 = 4,706.44/x
  3. Step 3: Cross multiply
    17,854.36x = 26,780.44 × 4,706.44
  4. Step 4: Simplify right side
    17,854.36x = 126,040,534.03
  5. Step 5: Solve for x
    x = 126,040,534.03/17,854.36
  6. Step 6: Final answer
    x = 7,059.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.